{"id":"https://openalex.org/W2098367169","doi":"https://doi.org/10.1109/crowncom.2009.5189008","title":"Exact non-asymptotic threshold for eigenvalue-based spectrum sensing","display_name":"Exact non-asymptotic threshold for eigenvalue-based spectrum sensing","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2098367169","doi":"https://doi.org/10.1109/crowncom.2009.5189008","mag":"2098367169"},"language":"en","primary_location":{"id":"doi:10.1109/crowncom.2009.5189008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/crowncom.2009.5189008","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 4th International Conference on Cognitive Radio Oriented Wireless Networks and Communications","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013188167","display_name":"Federico Penna","orcid":null},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Federico Penna","raw_affiliation_strings":["Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy","[Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"[Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy]","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090719949","display_name":"Roberto Garello","orcid":"https://orcid.org/0000-0003-0292-4648"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Roberto Garello","raw_affiliation_strings":["Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy","[Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"[Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy]","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003839269","display_name":"Davide Figlioli","orcid":null},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Davide Figlioli","raw_affiliation_strings":["Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy","[Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy","institution_ids":["https://openalex.org/I177477856"]},{"raw_affiliation_string":"[Dipartimento di Elettronica (DELEN), Politecnico di Torino, Turin, Italy]","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017526983","display_name":"Maurizio A. Spirito","orcid":"https://orcid.org/0000-0002-8566-1777"},"institutions":[{"id":"https://openalex.org/I2800599128","display_name":"Istituto Superiore Mario Boella","ror":"https://ror.org/05y6jfx28","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2800599128","https://openalex.org/I4210155299"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maurizio A. Spirito","raw_affiliation_strings":["TRM Lab, Pervasive Technologies, Istituto Superiore Mario Boella (ISMB), Turin, Italy","[TRM Lab, Pervasive Technologies, Istituto Superiore Mario Boella (ISMB), Turin, Italy]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TRM Lab, Pervasive Technologies, Istituto Superiore Mario Boella (ISMB), Turin, Italy","institution_ids":["https://openalex.org/I2800599128"]},{"raw_affiliation_string":"[TRM Lab, Pervasive Technologies, Istituto Superiore Mario Boella (ISMB), Turin, Italy]","institution_ids":["https://openalex.org/I2800599128"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7821234464645386},{"id":"https://openalex.org/keywords/false-alarm","display_name":"False alarm","score":0.7610239386558533},{"id":"https://openalex.org/keywords/cognitive-radio","display_name":"Cognitive radio","score":0.6456578969955444},{"id":"https://openalex.org/keywords/wishart-distribution","display_name":"Wishart distribution","score":0.6254083514213562},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6194559931755066},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.6179384589195251},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5810356736183167},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.515917181968689},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4940035939216614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4888974726200104},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.4772757887840271},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41928380727767944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40103501081466675},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35785675048828125},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17704439163208008},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.15937861800193787},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11610382795333862},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10833442211151123},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09561362862586975}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7821234464645386},{"id":"https://openalex.org/C2776836416","wikidata":"https://www.wikidata.org/wiki/Q1364844","display_name":"False alarm","level":2,"score":0.7610239386558533},{"id":"https://openalex.org/C149946192","wikidata":"https://www.wikidata.org/wiki/Q3235733","display_name":"Cognitive radio","level":3,"score":0.6456578969955444},{"id":"https://openalex.org/C33962027","wikidata":"https://www.wikidata.org/wiki/Q1930697","display_name":"Wishart distribution","level":3,"score":0.6254083514213562},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6194559931755066},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.6179384589195251},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5810356736183167},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.515917181968689},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4940035939216614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4888974726200104},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.4772757887840271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41928380727767944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40103501081466675},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35785675048828125},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17704439163208008},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.15937861800193787},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11610382795333862},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10833442211151123},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09561362862586975},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/crowncom.2009.5189008","is_oa":false,"landing_page_url":"https://doi.org/10.1109/crowncom.2009.5189008","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 4th International Conference on Cognitive Radio Oriented Wireless Networks and Communications","raw_type":"proceedings-article"},{"id":"pmh:oai:porto.polito.it:2262323","is_oa":false,"landing_page_url":"http://porto.polito.it/2262323/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:porto.polito.it:2498261","is_oa":false,"landing_page_url":"http://porto.polito.it/2498261/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1520752838","https://openalex.org/W1981573335","https://openalex.org/W2000798729","https://openalex.org/W2002912011","https://openalex.org/W2046245205","https://openalex.org/W2060581589","https://openalex.org/W2066459155","https://openalex.org/W2098971218","https://openalex.org/W2106084579","https://openalex.org/W2113795921","https://openalex.org/W2130988783","https://openalex.org/W2136118086","https://openalex.org/W2136816673","https://openalex.org/W2145752337","https://openalex.org/W2146315101","https://openalex.org/W2164490350","https://openalex.org/W2942228371","https://openalex.org/W3098548805","https://openalex.org/W6650815111","https://openalex.org/W6679963013"],"related_works":["https://openalex.org/W2181410425","https://openalex.org/W2051888740","https://openalex.org/W2382279859","https://openalex.org/W2046691252","https://openalex.org/W2384472869","https://openalex.org/W3203708548","https://openalex.org/W2132580384","https://openalex.org/W2003835194","https://openalex.org/W1973050875","https://openalex.org/W1996209778"],"abstract_inverted_index":{"Eigenvalue-based":[0],"detection":[1,28,51],"is":[2,18,89,99,121],"one":[3],"of":[4,50,61,65,81,84,106],"the":[5,21,26,58,62,75,82,95,114,126,133,138,141,145,152],"most":[6],"promising":[7],"techniques":[8],"proposed":[9,134],"for":[10,41,74,101],"spectrum":[11],"sensing":[12],"in":[13],"cognitive":[14],"radio":[15],"as":[16,78],"it":[17,88],"insensitive":[19],"to":[20,113,124],"noise":[22],"uncertainty":[23],"problem.":[24],"However,":[25],"eigenvalue-based":[27,148],"schemes":[29],"presented":[30],"so":[31],"far":[32],"rely":[33],"on":[34,92],"asymptotic":[35],"assumptions":[36],"that":[37,132],"are":[38],"not":[39,90],"suitable":[40],"many":[42],"realistic":[43],"scenarios,":[44],"thus":[45],"determining":[46],"a":[47,79],"substantial":[48],"degradation":[49],"performance.":[52],"In":[53,111],"this":[54],"paper,":[55],"starting":[56],"from":[57],"analytical":[59],"distribution":[60],"ordered":[63],"eigenvalues":[64],"finite-dimension":[66],"Wishart":[67],"matrices,":[68],"we":[69],"derive":[70],"an":[71,117],"exact":[72,115,139],"expression":[73],"decision":[76,97],"threshold":[77],"function":[80],"probability":[83],"false":[85],"alarm.":[86],"Since":[87],"based":[91],"asymptotical":[93],"assumptions,":[94],"novel":[96],"rule":[98],"valid":[100],"any,":[102],"even":[103],"small,":[104],"number":[105],"samples":[107],"and":[108,140],"cooperating":[109],"receivers.":[110],"addition":[112],"expression,":[116],"alternative":[118],"(approximated)":[119],"formula":[120],"then":[122],"derived":[123],"reduce":[125],"computational":[127],"complexity.":[128],"Simulation":[129],"results":[130],"show":[131],"detector,":[135],"both":[136],"with":[137],"approximated":[142],"formula,":[143],"outperforms":[144],"other":[146],"existing":[147],"techniques,":[149],"especially":[150],"when":[151],"receiver":[153],"operates":[154],"under":[155],"non-asymptotical":[156],"conditions.":[157]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":11}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
